The Covering Property Axiom, CPA: A Combinatorial Core of the Iterated Perfect Set Model Krzysztof Ciesielski

ISBN: 9780521839204

Published: August 23rd 2004

Hardcover

174 pages


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The Covering Property Axiom, CPA: A Combinatorial Core of the Iterated Perfect Set Model  by  Krzysztof Ciesielski

The Covering Property Axiom, CPA: A Combinatorial Core of the Iterated Perfect Set Model by Krzysztof Ciesielski
August 23rd 2004 | Hardcover | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 174 pages | ISBN: 9780521839204 | 7.78 Mb

This book explores a new axiom of set theory--CPA, the Covering Property Axiom. CPA is consistent with the usual ZFC axioms. It is true in the iterated Sacks model and actually captures the combinatorial core of this model. A plethora of resultsMoreThis book explores a new axiom of set theory--CPA, the Covering Property Axiom. CPA is consistent with the usual ZFC axioms. It is true in the iterated Sacks model and actually captures the combinatorial core of this model.

A plethora of results known to be true in the Sacks model easily follow from CPA. Replacing iterated forcing arguments with deductions from CPAs simplifies proofs, provides deeper insight, and leads to new results. Researchers who use set theory in their work will find much of interest in this book.



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